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Abstract We give a precise classification of the pairs (C, B͠) with C a smooth curve of genus g and B͠ ⊂ C(2) a curve of degree two and positive… Click to show full abstract
Abstract We give a precise classification of the pairs (C, B͠) with C a smooth curve of genus g and B͠ ⊂ C(2) a curve of degree two and positive self-intersection. We prove that there are no such pairs if g < pa(B͠) < 2g−1. We study the singularities and self-intersection of any degree two curve in C(2). Moreover, we give examples of curves with arithmetic genus in the Brill–Noether range and positive self-intersection on C × C.
Keywords:
degree two;
classification;
self intersection;
positive self
Journal Title: Advances in Geometry
Year Published: 2018
Link to full text (if available)
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Journal Title: Advances in Geometry
Year Published: 2018
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!